ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of NiAs2 (Materials Project id mp-19814)

       157       68      112        0        0        0  
        68      243       53        0        0        0  
       112       53      161        0        0        0  
         0        0        0       45        0        0  
         0        0        0        0       75        0  
         0        0        0        0        0       74  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 114.11 GPaEV = 154.6 GPaGV = 60.667 GPaνV = 0.27419
ReussKR = 113.56 GPaER = 126.39 GPaGR = 48.074 GPaνR = 0.31451
HillKH = 113.84 GPaEH = 140.71 GPaGH = 54.371 GPaνH = 0.29399

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
45 GPa 46.195 GPa 74 GPa 75 GPa 171.01 GPa 343.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 74.79 GPa 213.3 GPa 2.5833 TPa–1 3.3911 TPa–1 23.2 GPa 82.916 GPa-0.0309570.70427Value
Anisotropy 2.852 1.3127 3.574Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.4634
0.7071
0.5341
0.6958
0.7182
-0.0000
0.0000
0.0000
1.0000
Axis
-0.7071
0.0002
-0.7071
-0.4634
0.7071
-0.5341
-0.7182
0.6958
0.0000
1.0000
0.0000
-0.0000
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane